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On the strongly countable-dimensionality of μ-spaces

Published online by Cambridge University Press:  18 May 2009

T. Mizokami
T. Mizokami
Affiliation:
Department of Mathematics, Joetsu University of Education, Joetsu, Nligata Prefecture 943, Japan
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Nagata in [3] defined strongly countable-dimensional spaces which are the countable union of closed finite-dimensional subspaces. Walker and Wenner in [7] characterized such metric spaces as follows: a space X is a strongly countable-dimensional metric space if and only if there exists a finite-to-one closed mapping of a zero-dimensional metric space onto X with weak local order.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 25 , Issue 1 , January 1984 , pp. 13 - 18
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984

References

REFERENCES

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